Alternative fast quantum logic gates using nonadiabatic Landau-Zener-Stückelberg-Majorana transitions
A conventional realization of quantum logic gates and control is based on resonant Rabi oscillations of the occupation probability of the system. This approach has certain limitations and complications, like counter-rotating terms. We study an alternative paradigm for implementing quantum logic gate...
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| Format: | Article |
| Language: | English |
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American Physical Society
2024-09-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.6.033340 |
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| author | A. I. Ryzhov O. V. Ivakhnenko S. N. Shevchenko M. F. Gonzalez-Zalba Franco Nori |
| author_facet | A. I. Ryzhov O. V. Ivakhnenko S. N. Shevchenko M. F. Gonzalez-Zalba Franco Nori |
| author_sort | A. I. Ryzhov |
| collection | DOAJ |
| description | A conventional realization of quantum logic gates and control is based on resonant Rabi oscillations of the occupation probability of the system. This approach has certain limitations and complications, like counter-rotating terms. We study an alternative paradigm for implementing quantum logic gates based on Landau-Zener-Stückelberg-Majorana (LZSM) interferometry with nonresonant driving and the alternation of adiabatic evolution and nonadiabatic transitions. Compared to Rabi oscillations, the main differences are a nonresonant driving frequency and a small number of periods in the external driving. We explore the dynamics of a multilevel quantum system under LZSM drives and optimize the parameters for increasing the gate speed. We define the parameters of the external driving required for implementing a specific quantum logic gate using the adiabatic-impulse model. In particular, we demonstrate the implementations of single-qubit X, Y, Hadamard gates, and two-qubit iswap and cnot gates using the LZSM transitions. The considered LZSM approach for implementing arbitrary quantum logic gates can be applied to a large variety of multilevel quantum systems and external driving. |
| format | Article |
| id | doaj-art-d15452f8531f4a2c93e5b6c376bd308f |
| institution | OA Journals |
| issn | 2643-1564 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-d15452f8531f4a2c93e5b6c376bd308f2025-08-20T01:55:16ZengAmerican Physical SocietyPhysical Review Research2643-15642024-09-016303334010.1103/PhysRevResearch.6.033340Alternative fast quantum logic gates using nonadiabatic Landau-Zener-Stückelberg-Majorana transitionsA. I. RyzhovO. V. IvakhnenkoS. N. ShevchenkoM. F. Gonzalez-ZalbaFranco NoriA conventional realization of quantum logic gates and control is based on resonant Rabi oscillations of the occupation probability of the system. This approach has certain limitations and complications, like counter-rotating terms. We study an alternative paradigm for implementing quantum logic gates based on Landau-Zener-Stückelberg-Majorana (LZSM) interferometry with nonresonant driving and the alternation of adiabatic evolution and nonadiabatic transitions. Compared to Rabi oscillations, the main differences are a nonresonant driving frequency and a small number of periods in the external driving. We explore the dynamics of a multilevel quantum system under LZSM drives and optimize the parameters for increasing the gate speed. We define the parameters of the external driving required for implementing a specific quantum logic gate using the adiabatic-impulse model. In particular, we demonstrate the implementations of single-qubit X, Y, Hadamard gates, and two-qubit iswap and cnot gates using the LZSM transitions. The considered LZSM approach for implementing arbitrary quantum logic gates can be applied to a large variety of multilevel quantum systems and external driving.http://doi.org/10.1103/PhysRevResearch.6.033340 |
| spellingShingle | A. I. Ryzhov O. V. Ivakhnenko S. N. Shevchenko M. F. Gonzalez-Zalba Franco Nori Alternative fast quantum logic gates using nonadiabatic Landau-Zener-Stückelberg-Majorana transitions Physical Review Research |
| title | Alternative fast quantum logic gates using nonadiabatic Landau-Zener-Stückelberg-Majorana transitions |
| title_full | Alternative fast quantum logic gates using nonadiabatic Landau-Zener-Stückelberg-Majorana transitions |
| title_fullStr | Alternative fast quantum logic gates using nonadiabatic Landau-Zener-Stückelberg-Majorana transitions |
| title_full_unstemmed | Alternative fast quantum logic gates using nonadiabatic Landau-Zener-Stückelberg-Majorana transitions |
| title_short | Alternative fast quantum logic gates using nonadiabatic Landau-Zener-Stückelberg-Majorana transitions |
| title_sort | alternative fast quantum logic gates using nonadiabatic landau zener stuckelberg majorana transitions |
| url | http://doi.org/10.1103/PhysRevResearch.6.033340 |
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